\hypertarget{cc__cell__tf2ss_8m}{
\subsection{cc\_\-cell\_\-tf2ss.m File Reference}
\label{d5/d5e/cc__cell__tf2ss_8m}\index{cc\_\-cell\_\-tf2ss.m@{cc\_\-cell\_\-tf2ss.m}}
}


Converts the Continuous-\/time Transfer Matrix to the Discrete State Space form.  


\subsubsection*{Functions}
\begin{DoxyCompactItemize}
\item 
function \hyperlink{cc__cell__tf2ss_8m_aa155bf3baef4364f1d0f552ac1ebf5ab}{cc\_\-cell\_\-tf2ss} (in nominator, in denominator, in T\_\-f)
\end{DoxyCompactItemize}


\subsubsection{Detailed Description}
Converts the Continuous-\/time Transfer Matrix to the Discrete State Space form. \begin{DoxyAuthor}{Author}
Mikhail Konnik 
\end{DoxyAuthor}
\begin{DoxyDate}{Date}
10 January 2012
\end{DoxyDate}
\hypertarget{d5/d5e/cc__cell__tf2ss_8m_celltf2ss}{}\subsubsection{Transfer matrix to State space conversion}\label{d5/d5e/cc__cell__tf2ss_8m_celltf2ss}
A transfer function (also known as the system function\mbox{[}1\mbox{]} or network function) is a mathematical representation, in terms of spatial or temporal frequency, of the relation between the input and output of a linear time-\/invariant system. With optical imaging devices, for example, it is the Fourier transform of the point spread function (hence a function of spatial frequency) i.e. the intensity distribution caused by a point object in the field of view.

Construct numerator of the transfer function. This means that if in the numerator the function is $ s^2 + 2s + 3 $ then the numerator for the MATLAB will be num = \mbox{[}1 2 3\mbox{]}. num = \mbox{[}500 8750 53271 151200 18000\mbox{]};

Construct denumerator of the transfer function. This means that if in the numerator the function is $ s^3 + 4s^2 + 3 $ then the numerator for the MATLAB will be num = \mbox{[}1 4 0 3\mbox{]}. The numerator and denumerator may be of different denum = \mbox{[}500 8750 54000 135000 108000\mbox{]}; 

Definition in file \hyperlink{cc__cell__tf2ss_8m_source}{cc\_\-cell\_\-tf2ss.m}.



\subsubsection{Function Documentation}
\hypertarget{cc__cell__tf2ss_8m_aa155bf3baef4364f1d0f552ac1ebf5ab}{
\index{cc\_\-cell\_\-tf2ss.m@{cc\_\-cell\_\-tf2ss.m}!cc\_\-cell\_\-tf2ss@{cc\_\-cell\_\-tf2ss}}
\index{cc\_\-cell\_\-tf2ss@{cc\_\-cell\_\-tf2ss}!cc_cell_tf2ss.m@{cc\_\-cell\_\-tf2ss.m}}
\paragraph[{cc\_\-cell\_\-tf2ss}]{\setlength{\rightskip}{0pt plus 5cm}function cc\_\-cell\_\-tf2ss (
\begin{DoxyParamCaption}
\item[{in}]{ nominator, }
\item[{in}]{ denominator, }
\item[{in}]{ T\_\-f}
\end{DoxyParamCaption}
)}\hfill}
\label{d5/d5e/cc__cell__tf2ss_8m_aa155bf3baef4364f1d0f552ac1ebf5ab}

\begin{DoxyParams}{Parameters}
\item[{\em nominator}]= cell array of numerators of the Transfer Matrix (continuous-\/time). \item[{\em denominator}]= cell array of denominators of the Transfer Matrix (continuous-\/time). \item[{\em T\_\-f}]= sampling time for the discretization. \end{DoxyParams}

\begin{DoxyRetVals}{Return values}
\item[{\em A}]= discrete state evolution matrix A. \item[{\em B}]= discrete input matrix B. \item[{\em C}]= discrete output matrix C. \item[{\em D}]= discrete feedthrough matrix D. \end{DoxyRetVals}
